双线性反馈系统的输入到状态稳定性

IF 2.2 2区数学 Q2 AUTOMATION & CONTROL SYSTEMS

SIAM Journal on Control and Optimization Pub Date : 2024-05-09 DOI:10.1137/23m155788x

René Hosfeld, Birgit Jacob, Felix L. Schwenninger, Marius Tucsnak

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引用次数: 0

摘要

SIAM 控制与优化期刊》第 62 卷第 3 期第 1369-1389 页，2024 年 6 月。摘要。给出了具有双线性反馈的无穷维系统的小初始条件和输入函数的输入到状态稳定性估计。我们将得到的结果应用于具有 Dirichlet 边界条件的粘性 Burger 方程、薛定谔方程、Navier-Stokes 系统和半线性波方程的受控版本。

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Input-to-State Stability for Bilinear Feedback Systems

SIAM Journal on Control and Optimization, Volume 62, Issue 3, Page 1369-1389, June 2024.
Abstract. Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier–Stokes system, and a semilinear wave equation.

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来源期刊

SIAM Journal on Control and Optimization 数学-应用数学

CiteScore

4.00

自引率

4.50%

发文量

143

审稿时长

12 months

期刊介绍： SIAM Journal on Control and Optimization (SICON) publishes original research articles on the mathematics and applications of control theory and certain parts of optimization theory. Papers considered for publication must be significant at both the mathematical level and the level of applications or potential applications. Papers containing mostly routine mathematics or those with no discernible connection to control and systems theory or optimization will not be considered for publication. From time to time, the journal will also publish authoritative surveys of important subject areas in control theory and optimization whose level of maturity permits a clear and unified exposition. The broad areas mentioned above are intended to encompass a wide range of mathematical techniques and scientific, engineering, economic, and industrial applications. These include stochastic and deterministic methods in control, estimation, and identification of systems; modeling and realization of complex control systems; the numerical analysis and related computational methodology of control processes and allied issues; and the development of mathematical theories and techniques that give new insights into old problems or provide the basis for further progress in control theory and optimization. Within the field of optimization, the journal focuses on the parts that are relevant to dynamic and control systems. Contributions to numerical methodology are also welcome in accordance with these aims, especially as related to large-scale problems and decomposition as well as to fundamental questions of convergence and approximation.